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Euklids Data

Euklids Data


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About the Book

Dieses historische Buch kann zahlreiche Tippfehler und fehlende Textpassagen aufweisen. Kaufer konnen in der Regel eine kostenlose eingescannte Kopie des originalen Buches vom Verleger herunterladen (ohne Tippfehler). Ohne Indizes. Nicht dargestellt. 1780 edition. Auszug: ...Linie gegeben; und wenn die Verhaltnis der andern Seite des ersten zu dieser geraden Linie gegeben ist, so ist die Verhaltnis des ersten Parallelogrammes zu dem zweyten gegeben.?iF. 62. O, 0? seyen zwey gleichwinklichte Pa- rallelogramme, so verhall sich L O, eine Seite des ersten, zu einer Seite des zweyten, wie OL, die andere Seite des zweyten, zu der ge-raden Linie, zu welcher HL, die andere Seite des ersten, eben die Verhaltnis hat, wie HO zuO?. Man verlangere L, und mache L O: L?--OL: LC, und vollende das Prllgr LQH O; weil nun (LO) QH: L?--OL: -6, so sind die anliegenden Seiten der gleichen Winkel 8 4 -au. LQ-, DL?, in umgekehrter Verhaltnis; fol- 14. 6. gliche ist Prllgr o H--O?; nun ist: . c-NH, folglich: LQ--c: O?; nun ist LO: --OL: LS, folglich ist LS die gerade Linie, die die im Satz gcmeldten Eigenschaften hat. Und wenn H O: O? gegeben ist, so ist HL: LQ gegeben; und hinwiederum, wenn L: LQ gegeben ist, so ist H O: O? gegeben. 74.?z. ' Satz XllV. wenn zwey Pargllelogrammc ungleiche, aber gegebene Winkel haben, und wenn eine Seite des ersten zu einer Seite des zweyten sich verhalt, wie die andere Seite des zweiten zu einer gewissen geraden Linie; so wird, wenn die Verhaltnis des ersten Parallele- grannnes zu dem zweyten gegeben ist, die Verhaltnis der andern Seite des ersten zu jener geraden Linie gegeben seyn: Und wenn die Verhaltnis der andern Seite des ersten zu jener geraden Linie gegeben ist, ss wird die Verhaltnis des ersten Varallelogrammes zu dem zweyten gegeben seyn. 6z. LcI), L?6Il seyen zwey Prllgr, welche die ungleichen aber gegebenen Winkel L O, L? 6 haben z und man setze Lc: ?..."


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Product Details
  • ISBN-13: 9781234346409
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 44
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1234346400
  • Publisher Date: 30 Jan 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 95 gr


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